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Simplifying -3(1 + 7v) = 15 + -3v (1 * -3 + 7v * -3) = 15 + -3v (-3 + -21v) = 15 + -3v Solving -3 + -21v = 15 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -3 + -21v + 3v = 15 + -3v + 3v Combine like terms: -21v + 3v = -18v -3 + -18v = 15 + -3v + 3v Combine like terms: -3v + 3v = 0 -3 + -18v = 15 + 0 -3 + -18v = 15 Add '3' to each side of the equation. -3 + 3 + -18v = 15 + 3 Combine like terms: -3 + 3 = 0 0 + -18v = 15 + 3 -18v = 15 + 3 Combine like terms: 15 + 3 = 18 -18v = 18 Divide each side by '-18'. v = -1 Simplifying v = -1
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